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Finding the Third Proportional to 5,601.38 and 12,022.88

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Solution

The third proportional to 5,601.38 and 12,022.88 is: 25,806.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,601.38 : 12,022.88 = 12,022.88 : x
  2. Step 2: Convert to fraction form
    5,601.38/12,022.88 = 12,022.88/x
  3. Step 3: Cross multiply
    5,601.38x = 12,022.88 × 12,022.88
  4. Step 4: Simplify right side
    5,601.38x = 144,549,523.27
  5. Step 5: Solve for x
    x = 144,549,523.27/5,601.38
  6. Step 6: Final answer
    x = 25,806.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.